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122341443240 = 23354127191757
BaseRepresentation
bin111000111110000011…
…1100100011010101000
3102200210012000020210110
41301330013210122220
54001023402140430
6132111453414320
711560510052352
oct1617407443250
9380705006713
10122341443240
1147980612085
121b863a9a3a0
13b6c930cc43
145cc82c20d2
1532b08117b0
hex1c7c1e46a8

122341443240 has 128 divisors (see below), whose sum is σ = 377367621120. Its totient is φ = 31710873600.

The previous prime is 122341443233. The next prime is 122341443247. The reversal of 122341443240 is 42344143221.

It is an interprime number because it is at equal distance from previous prime (122341443233) and next prime (122341443247).

It is a super-2 number, since 2×1223414432402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 122341443198 and 122341443207.

It is not an unprimeable number, because it can be changed into a prime (122341443247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1287442 + ... + 1379198.

It is an arithmetic number, because the mean of its divisors is an integer number (2948184540).

Almost surely, 2122341443240 is an apocalyptic number.

122341443240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122341443240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188683810560).

122341443240 is an abundant number, since it is smaller than the sum of its proper divisors (255026177880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122341443240 is a wasteful number, since it uses less digits than its factorization.

122341443240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92083 (or 92079 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 122341443240 its reverse (42344143221), we get a palindrome (164685586461).

The spelling of 122341443240 in words is "one hundred twenty-two billion, three hundred forty-one million, four hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 271 328 410 492 542 615 813 820 984 1084 1230 1355 1626 1640 2168 2460 2710 3252 4065 4920 5420 6504 8130 10840 11111 16260 22222 32520 33333 44444 55555 66666 88888 91757 111110 133332 166665 183514 222220 266664 275271 333330 367028 444440 458785 550542 666660 734056 917570 1101084 1333320 1376355 1835140 2202168 2752710 3670280 3762037 5505420 7524074 11010840 11286111 15048148 18810185 22572222 24866147 30096296 37620370 45144444 49732294 56430555 74598441 75240740 90288888 99464588 112861110 124330735 149196882 150481480 198929176 225722220 248661470 298393764 372992205 451444440 497322940 596787528 745984410 994645880 1019512027 1491968820 2039024054 2983937640 3058536081 4078048108 5097560135 6117072162 8156096216 10195120270 12234144324 15292680405 20390240540 24468288648 30585360810 40780481080 61170721620 122341443240